Transport Modeling in Hydrogeochemical Systems

Logan, J. David

doi:10.1007/978-1-4757-3518-5

Cited by 108 publications

(104 citation statements)

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“…Classical filtration theory elaborated by Iwasaki [Iwasaki 1937] taking into account a solute transport and mass balance equations [Logan 2001;Bradford et al 2003;Foppen and Schijven 2006;Tufenkji 2007] is the most commonly used approach for evaluating migration, retention (sink term for solids deposition) and detachment (source term for solids deposition) [Ives 1975]:…”

Section: Deposit Of Solidsmentioning

confidence: 99%

New Approach to Modelling Sand Filter Clogging by Septic Tank Effluent

Nieć¹,

Spychała²,

Zawadzki³

2016

J. Ecol. Eng.

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Section: Deposit Of Solidsmentioning

confidence: 99%

New Approach to Modelling Sand Filter Clogging by Septic Tank Effluent

Nieć¹,

Spychała²,

Zawadzki³

2016

J. Ecol. Eng.

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“…1. These are solutions defined on the entire real line (see chapter 3 in [15], e.g.) and represent a mathematical ansatz of wave concentration profiles in the laboratory or in situ experiment.…”

Section: Carbonation Modelmentioning

confidence: 99%

On the interplay between fast reaction and slow diffusion in the concrete carbonation process: a matched-asymptotics approach

Muntean

2008

Meccanica

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A matched-asymptotics approach is proposed to show the occurrence of two distinct characteristic length scales in the carbonation process. The separation of these scales arises due to the strong competition between reaction and diffusion effects. We show that for sufficiently large times τ the width of the carbonated region is proportional to √ τ , while the width of the reaction front is proportional to τ p−1 2(p+1) for carbonation-reaction rates with a power law structurewhere k > 0 and p, q > 1 and identify the proportionality coefficient asymptotically. We emphasize the occurrence of a water barrier in the reaction zone which may hinder the penetration of CO 2 by locally filling with water air parts of the pores. This non-linear effect may be one of the causes why a purely linear extrapolation of accelerated carbonation test results to natural carbonation settings is (even theoretically) not reasonable. Finally, we compare our asymptotic penetration law against measured penetration depths from Bune (Zum Karbonatisierungsbedingten Verlust der Dauerhaftigkeit von Außenbauteilen aus Stahlbeton, 1994 We offer an alternative to the (asymptotic) √ τ expression of the carbonation-front position obtained in Papadakis et al. (AIChE J. 35:1639(AIChE J. 35: , 1989).

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“…For constant filtration coefficient, the solution of the initial-boundary value problem (1.1), (1.3) for T > X (see [8,14,24]) is:…”

Section: Classical Deep Bed Filtration Theorymentioning

confidence: 99%

Size exclusion during particle suspension transport in porous media: stochastic and averaged equations

Santos¹,

Bedrikovetsky²

2004

Mat. apl. comput.

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Abstract. A population balance model is formulated for transport of stable particulate suspensions in porous media. Equations for particle and pore size distributions were derived from the stochastic Master equation. The model accounts for particle flow reduction due to restriction for large particles to move through small pores. An analytical solution for low particle concentration is obtained for general particle and pore size distributions. The averaged equations differ significantly from the traditional deep bed filtration model. 76S05, 60H15. Mathematical subject classification:

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Transport Modeling in Hydrogeochemical Systems

Cited by 108 publications

References 0 publications

New Approach to Modelling Sand Filter Clogging by Septic Tank Effluent

New Approach to Modelling Sand Filter Clogging by Septic Tank Effluent

On the interplay between fast reaction and slow diffusion in the concrete carbonation process: a matched-asymptotics approach

Size exclusion during particle suspension transport in porous media: stochastic and averaged equations

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